97 citations · 696 across the 36 of their papers we have counts for
11 papers · 1 filter
Interpolations between Jordanian Twists Induced by Coboundary Twists
Andrzej Borowiec, Daniel Meljanac, Stjepan Meljanac +1
We propose a new generalisation of the Jordanian twist (building on the previous idea from [Meljanac S., Meljanac D., Pachol A., Pikutic D., J. Phys. A: Math. Theor. 50 (2017), 265…
Remarks on simple interpolation between Jordanian twists
Stjepan Meljanac, Daniel Meljanac, Anna Pachoł +1
In this paper, we propose a simple generalization of the locally r-symmetric Jordanian twist, resulting in the one-parameter family of Jordanian twists. All the proposed twists dif…
Twisted bialgebroids versus bialgebroids from a Drinfeld twist
Andrzej Borowiec, Anna Pachol
Bialgebroids (resp. Hopf algebroids) are bialgebras (Hopf algebras) over noncommutative rings. Drinfeld twist techniques are particularly useful in the (deformation) quantization o…
-Minkowski star product in any dimension from symplectic realization
Anna Pachol, Patrizia Vitale
We derive an explicit expression for the star product reproducing the -Minkowski Lie algebra in any dimension . The result is obtained by suitably reducing the Wick-Voros sta…
-Deformations and Extended -Minkowski Spacetimes
Andrzej Borowiec, Anna Pachol
We extend our previous study of Hopf-algebraic -deformations of all inhomogeneous orthogonal Lie algebras as written in a tensorial and unified form. Such deforma…
Twisting and kappa-Poincare
Andrzej Borowiec, Jerzy Lukierski, Anna Pachol
We demonstrate that the coproduct of D=2 and D=4 quantum kappa-Poincare algebra in classical algebra basis can not be obtained by the cochain twist depending only on Poincare algeb…
Unified description for kappa-deformations of orthogonal groups
Andrzej Borowiec, Anna Pachol
In this paper we provide universal formulas describing Drinfeld-type quantization of inhomogeneous orthogonal groups determined by a metric tensor of an arbitrary signature living…
Bicrossproduct construction versus Weyl-Heisenberg algebra
A. Borowiec, A. Pachoł
We are focused on detailed analysis of the Weyl-Heisenberg algebra in the framework of bicrossproduct construction. We argue that however it is not possible to introduce full bialg…
Kappa-Minkowski spacetime: mathematical formalism and applications in Planck scale physics
Anna Pachoł
The dissertation presents possibilities of applying noncommutative spacetimes description, particularly kappa-deformed Minkowski spacetime and Drinfeld's deformation theory, as a m…
-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
Andrzej Borowiec, Anna Pachoł
Some classes of Deformed Special Relativity (DSR) theories are reconsidered within the Hopf algebraic formulation. For this purpose we shall explore a minimal framework of deformed…
kappa-Minkowski spacetime as the result of Jordanian twist deformation
A. Borowiec, A. Pachol
Two one-parameter families of twists providing kappa-Minkowski * -product deformed spacetime are considered: Abelian and Jordanian. We compare the derivation of quantum Minkowski s…